89768 ÷ 5 = 17953 R3
Alright, let's work through the division of 89768 by 5 step by step.

Step 1:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 8 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 2:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 35 from 39 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 5

Step 3:
5 goes into 47 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 179
Subtract 45 from 47 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

Step 4:
5 goes into 26 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1795
Subtract 25 from 26 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 5

Step 5:
5 goes into 18 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 17953
Subtract 15 from 18 to get 3.

The final result is 17953 with a remainder of 3.